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Results tagged with ca.classical-analysis-and-odes
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user 94085
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
2
votes
Multivariate Lagrange inversion with zero powers
The formula cannot be applied for multinomial terms where an $n_i$ is $0$.
For $n=0$, Lagrange inversion formula and Lagrange-Bürmann formula have particular formulas.
You have to use another multiv …
- 1,053
11
votes
When can an invertible function be inverted in closed form?
Closed-form functions need the definition which set of functions is allowed to represent the function. Take e.g. the algebraic definition of the Elementary functions by Liouville and Ritt (Wikipedia: …
- 1,053
3
votes
Complexity theory and closed form formulas in analysis
Borwein, J. M.; Crandall, R. E.: Closed Forms: What They Are and Why We Care. Notices of the AMS 60 (2013) (1) 50-65
http://mathworld.wolfram.com/Closed-FormSolution.html
https://en.wikipedia.org/wi …
- 1,053